Fitted, Flushed, Twisting Clothing
Considering you have hundreds of pieces like this, I am not sure this approach is good enough, but this is the best I have found so far.

The principle is to use a small square with an array, make it follow the curve and shrinkwrap it :



That can be also done using a bevel object with the curve, but the array allows to handle easier the polycount.

Doing that, the main problem is to align the twist / tilt of the curve so that all is aligned along the arm (same problem with a bevel object).

So I had to tilt Ctrl+T each vertex of the curve to align the band with the arm :



Once done, apply the modifiers and you can refine the model (a bit), for instance adding curve and stretch it a bit :